P(x)=[x-(1+3i)][x-(1-3i)](x+2)(x-1)

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Solution for P(x)=[x-(1+3i)][x-(1-3i)](x+2)(x-1) equation: 


Simplifying
P(x) = [x + -1(1 + 3i)][x + -1(1 + -3i)](x + 2)(x + -1)

Multiply P * x
xP = [x + -1(1 + 3i)][x + -1(1 + -3i)](x + 2)(x + -1)
xP = [x + (1 * -1 + 3i * -1)][x + -1(1 + -3i)](x + 2)(x + -1)
xP = [x + (-1 + -3i)][x + -1(1 + -3i)](x + 2)(x + -1)

Reorder the terms:
xP = [-1 + -3i + x][x + -1(1 + -3i)](x + 2)(x + -1)
xP = [-1 + -3i + x][x + (1 * -1 + -3i * -1)](x + 2)(x + -1)
xP = [-1 + -3i + x][x + (-1 + 3i)](x + 2)(x + -1)

Reorder the terms:
xP = [-1 + -3i + x][-1 + 3i + x](x + 2)(x + -1)

Reorder the terms:
xP = [-1 + -3i + x][-1 + 3i + x](2 + x)(x + -1)

Reorder the terms:
xP = [-1 + -3i + x][-1 + 3i + x](2 + x)(-1 + x)

Multiply [-1 + -3i + x] * [-1 + 3i + x]
xP = [-1[-1 + 3i + x] + -3i * [-1 + 3i + x] + x[-1 + 3i + x]](2 + x)(-1 + x)
xP = [[-1 * -1 + 3i * -1 + x * -1] + -3i * [-1 + 3i + x] + x[-1 + 3i + x]](2 + x)(-1 + x)
xP = [[1 + -3i + -1x] + -3i * [-1 + 3i + x] + x[-1 + 3i + x]](2 + x)(-1 + x)
xP = [1 + -3i + -1x + [-1 * -3i + 3i * -3i + x * -3i] + x[-1 + 3i + x]](2 + x)(-1 + x)

Reorder the terms:
xP = [1 + -3i + -1x + [3i + -3ix + -9i2] + x[-1 + 3i + x]](2 + x)(-1 + x)
xP = [1 + -3i + -1x + [3i + -3ix + -9i2] + x[-1 + 3i + x]](2 + x)(-1 + x)
xP = [1 + -3i + -1x + 3i + -3ix + -9i2 + [-1 * x + 3i * x + x * x]](2 + x)(-1 + x)

Reorder the terms:
xP = [1 + -3i + -1x + 3i + -3ix + -9i2 + [3ix + -1x + x2]](2 + x)(-1 + x)
xP = [1 + -3i + -1x + 3i + -3ix + -9i2 + [3ix + -1x + x2]](2 + x)(-1 + x)

Reorder the terms:
xP = [1 + -3i + 3i + -3ix + 3ix + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)

Combine like terms: -3i + 3i = 0
xP = [1 + 0 + -3ix + 3ix + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)
xP = [1 + -3ix + 3ix + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)

Combine like terms: -3ix + 3ix = 0
xP = [1 + 0 + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)
xP = [1 + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)

Combine like terms: -1x + -1x = -2x
xP = [1 + -9i2 + -2x + x2](2 + x)(-1 + x)

Multiply [1 + -9i2 + -2x + x2] * (2 + x)
xP = [1(2 + x) + -9i2 * (2 + x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
xP = [(2 * 1 + x * 1) + -9i2 * (2 + x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
xP = [(2 + 1x) + -9i2 * (2 + x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
xP = [2 + 1x + (2 * -9i2 + x * -9i2) + -2x * (2 + x) + x2(2 + x)](-1 + x)
xP = [2 + 1x + (-18i2 + -9i2x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
xP = [2 + 1x + -18i2 + -9i2x + (2 * -2x + x * -2x) + x2(2 + x)](-1 + x)
xP = [2 + 1x + -18i2 + -9i2x + (-4x + -2x2) + x2(2 + x)](-1 + x)
xP = [2 + 1x + -18i2 + -9i2x + -4x + -2x2 + (2 * x2 + x * x2)](-1 + x)
xP = [2 + 1x + -18i2 + -9i2x + -4x + -2x2 + (2x2 + x3)](-1 + x)

Reorder the terms:
xP = [2 + -18i2 + -9i2x + 1x + -4x + -2x2 + 2x2 + x3](-1 + x)

Combine like terms: 1x + -4x = -3x
xP = [2 + -18i2 + -9i2x + -3x + -2x2 + 2x2 + x3](-1 + x)

Combine like terms: -2x2 + 2x2 = 0
xP = [2 + -18i2 + -9i2x + -3x + 0 + x3](-1 + x)
xP = [2 + -18i2 + -9i2x + -3x + x3](-1 + x)

Multiply [2 + -18i2 + -9i2x + -3x + x3] * (-1 + x)
xP = [2(-1 + x) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
xP = [(-1 * 2 + x * 2) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
xP = [(-2 + 2x) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
xP = [-2 + 2x + (-1 * -18i2 + x * -18i2) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
xP = [-2 + 2x + (18i2 + -18i2x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
xP = [-2 + 2x + 18i2 + -18i2x + (-1 * -9i2x + x * -9i2x) + -3x * (-1 + x) + x3(-1 + x)]
xP = [-2 + 2x + 18i2 + -18i2x + (9i2x + -9i2x2) + -3x * (-1 + x) + x3(-1 + x)]
xP = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + (-1 * -3x + x * -3x) + x3(-1 + x)]
xP = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + (3x + -3x2) + x3(-1 + x)]
xP = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + (-1 * x3 + x * x3)]
xP = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + (-1x3 + x4)]

Reorder the terms:
xP = [-2 + 18i2 + -18i2x + 9i2x + -9i2x2 + 2x + 3x + -3x2 + -1x3 + x4]

Combine like terms: -18i2x + 9i2x = -9i2x
xP = [-2 + 18i2 + -9i2x + -9i2x2 + 2x + 3x + -3x2 + -1x3 + x4]

Combine like terms: 2x + 3x = 5x
xP = [-2 + 18i2 + -9i2x + -9i2x2 + 5x + -3x2 + -1x3 + x4]

Solving
xP = -2 + 18i2 + -9i2x + -9i2x2 + 5x + -3x2 + -1x3 + x4

Solving for variable 'x'.

Reorder the terms:
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = -2 + 18i2 + -9i2x + -9i2x2 + 5x + -3x2 + -1x3 + x4 + 2 + -18i2 + 9i2x + 9i2x2 + -5x + 3x2 + x3 + -1x4

Reorder the terms:
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = -2 + 2 + 18i2 + -18i2 + -9i2x + 9i2x + -9i2x2 + 9i2x2 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: -2 + 2 = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0 + 18i2 + -18i2 + -9i2x + 9i2x + -9i2x2 + 9i2x2 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 18i2 + -18i2 + -9i2x + 9i2x + -9i2x2 + 9i2x2 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: 18i2 + -18i2 = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0 + -9i2x + 9i2x + -9i2x2 + 9i2x2 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = -9i2x + 9i2x + -9i2x2 + 9i2x2 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: -9i2x + 9i2x = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0 + -9i2x2 + 9i2x2 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = -9i2x2 + 9i2x2 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: -9i2x2 + 9i2x2 = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0 + 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 5x + -5x + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: 5x + -5x = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0 + -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = -3x2 + 3x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: -3x2 + 3x2 = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0 + -1x3 + x3 + x4 + -1x4
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = -1x3 + x3 + x4 + -1x4

Combine like terms: -1x3 + x3 = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0 + x4 + -1x4
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
2 + -18i2 + 9i2x + 9i2x2 + -5x + xP + 3x2 + x3 + -1x4 = 0

The solution to this equation could not be determined.

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